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6th Grade Mid-Term Mathematics Exam (Pre-Algebra)
1.

Which of the following ratios is equivalent to $2:3$?

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2.

A recipe calls for $2 cups of flour for every \3 cups of sugar. If you use \6$ cups of flour, how many cups of sugar do you need?

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3.

What is $25% of \80$?

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4.

Convert $0.4$ into a percentage.

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5.

Which integer is greater: −10-10 or −5-5?

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6.

What is the value of −7+3-7 + 3?

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7.

Calculate: $12 - (-4)$.

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8.

A submarine is at −200-200 feet relative to sea level. If it ascends $50$ feet, what is its new depth?

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9.

Which expression represents "four less than twice a number xx"?

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10.

If a shirt costs $30 and is on sale for $10%$ off, what is the discount amount?

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11.

A bag contains $5 red marbles and \7$ blue marbles. What is the ratio of red marbles to total marbles?

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12.

Solve for yy: y+9=15y + 9 = 15

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13.

What is the product of −3-3 and $8$?

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14.

Show your work. Solve the proportion for xx: 37=18x\frac{3}{7} = \frac{18}{x}.

15.

Show your work. A pair of shoes costs $30.00. If there is a $15%$ discount, what is the final price of the shoes after the discount?

16.

Show your work. The temperature in the morning was −5°C-5\degree C. By the afternoon, the temperature rose to $8\degree C$. What was the total change in temperature?

17.

Show your work. Solve the equation: x−7=2x - 7 = 2.

18.

Show your work. Sarah has $18 stickers. She wants to give an equal number of stickers to \3 friends, and she will keep \3stickersforherself.Letstickers for herself. Letxbethenumberofstickerseachfriendreceives.Writeanequationtorepresentthissituationandsolveforbe the number of stickers each friend receives. Write an equation to represent this situation and solve forx$.

19.

Show your work. A diver descends at a rate of $10 feet per minute. If the diver starts at sea level (\0 feet) and dives for \12$ minutes, what is the diver's depth?

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